Show commands:
SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 442176bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
442176.bx1 | 442176bx1 | \([0, -1, 0, -261, 519]\) | \(262144/141\) | \(1061664576\) | \([]\) | \(190080\) | \(0.42306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 442176bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 442176bx do not have complex multiplication.Modular form 442176.2.a.bx
sage: E.q_eigenform(10)